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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 634 · 40 sums
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The method (Undo in reverse): ax + b = c → ax = c − b → x = (c − b) ÷ a. ax − b = c → ax = c + b. x/a + b = c → x/a = c − b → x = a × (c − b). a(x + b) = c → divide by a first: x + b = c ÷ a. Word problems: call the unknown x, write the equation, solve it, then check with the story.

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  1. 1.Solve: t/7 + 17 = 19. What is t?
  2. 2.Arjun is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  3. 3.Solve: 5(m + 6) = 45. What is m?
  4. 4.Solve: n/5 + 2 = 4. What is n?
  5. 5.Solve: 2m + 17 = 23. What is m?
  6. 6.Solve: n/9 + 12 = 24. What is n?
  7. 7.Ananya thinks of a number, multiplies it by 3 and then adds 7. The result is 19. What is the number?
  8. 8.Kavya’s mother is four times as old as Kavya. Their ages add up to 50 years. How old is Kavya?
  9. 9.Ishaan thinks of a number, multiplies it by 3 and then adds 1. The result is 4. What is the number?
  10. 10.Aarav thinks of a number, multiplies it by 4 and then adds 2. The result is 38. What is the number?
  11. 11.Nisha is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  12. 12.Solve: 8p + 11 = 107. What is p?
  13. 13.Solve: 9x + 13 = 139. What is x?
  14. 14.Ishaan is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  15. 15.Rahul thinks of a number, multiplies it by 6 and then adds 3. The result is 93. What is the number?
  16. 16.Solve: p/8 + 18 = 21. What is p?
  17. 17.Solve: 9n − 24 = 75. What is n?
  18. 18.Solve: 6m − 35 = 25. What is m?
  19. 19.Meera thinks of a number, multiplies it by 5 and then adds 5. The result is 50. What is the number?
  20. 20.Karan thinks of a number, multiplies it by 2 and then adds 12. The result is 14. What is the number?
  21. 21.Meera’s mother is twice as old as Meera. Their ages add up to 15 years. How old is Meera?
  22. 22.Solve: 9(p + 3) = 63. What is p?
  23. 23.Solve: t/6 + 14 = 17. What is t?
  24. 24.Solve: 4p − 16 = 40. What is p?
  25. 25.Solve: 6x − 61 = 17. What is x?
  26. 26.Solve: t/2 + 17 = 30. What is t?
  27. 27.Solve: 4n − 8 = 24. What is n?
  28. 28.Karan’s mother is three times as old as Karan. Their ages add up to 20 years. How old is Karan?
  29. 29.Solve: 3x + 27 = 39. What is x?
  30. 30.Solve: 2(x + 2) = 32. What is x?
  31. 31.Solve: t/4 + 7 = 17. What is t?
  32. 32.Solve: 6(n + 5) = 42. What is n?
  33. 33.Solve: 5x + 4 = 64. What is x?
  34. 34.Ananya’s mother is three times as old as Ananya. Their ages add up to 48 years. How old is Ananya?
  35. 35.Manav’s mother is four times as old as Manav. Their ages add up to 35 years. How old is Manav?
  36. 36.Solve: 9(y + 7) = 162. What is y?
  37. 37.Solve: 8n − 32 = 80. What is n?
  38. 38.Solve: y/6 + 15 = 24. What is y?
  39. 39.Joseph’s mother is three times as old as Joseph. Their ages add up to 20 years. How old is Joseph?
  40. 40.Solve: t/9 + 4 = 12. What is t?

Answer key

  1. 14
  2. 13
  3. 3
  4. 10
  5. 3
  6. 108
  7. 4
  8. 10
  9. 1
  10. 9
  11. 14
  12. 12
  13. 14
  14. 6
  15. 15
  16. 24
  17. 11
  18. 10
  19. 9
  20. 1
  21. 5
  22. 4
  23. 18
  24. 14
  25. 13
  26. 26
  27. 8
  28. 5
  29. 4
  30. 14
  31. 40
  32. 2
  33. 12
  34. 12
  35. 7
  36. 11
  37. 14
  38. 54
  39. 5
  40. 72

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